Sarah, Risa and Jade had a sum of money. The amount of money Sarah had was ²₃ of the amount of money Risa had. The ratio of the amount of money Risa had to the total amount of money Jade and Risa had was 2: 5. After Jade gave $24 to Risa, she had as much money as Risa. How much more money did Jade have than Sarah in the end?

Sarah	Risa	Jade
2x2 = 4 u	3x2 = 6 u
	2x3 = 6 u	3x3 = 9 u
4 u	6 u	9 u

The amount that Risa had is the repeated identity. Make the amount that Risa had the same.  LCM of 3 and 2 is 6.

	Sarah	Risa	Jade
Before	4 u	6 u	9 u
Change	No change	+ 24	- 24
After	4 u	6 u + 24	9 u - 24

The amount that Jade and Risa had in the end is the same.

9 u - 24 = 6 u + 24
9 u - 6 u = 24 + 24 
3 u = 48

1 u = 48 ÷ 3 = 16

Amount that Jade had more than Sarah in the end
= 9 u - 24 - 4 u
= 5 u - 24
= 5 x 16 - 24
= 80 - 24
= $56

Answer(s): $56